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56036512 = 257972579
BaseRepresentation
bin1101010111000…
…0110010100000
310220102221122101
43111300302200
5103321132022
65321020144
71250205520
oct325606240
9126387571
1056036512
11296a4074
1216924654
13b7bcbcc
147629680
154dbd627
hex3570ca0

56036512 has 48 divisors (see below), whose sum is σ = 127431360. Its totient is φ = 23758848.

The previous prime is 56036501. The next prime is 56036527. The reversal of 56036512 is 21563065.

It is a super-2 number, since 2×560365122 = 6280181354252288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20439 + ... + 23017.

It is an arithmetic number, because the mean of its divisors is an integer number (2654820).

Almost surely, 256036512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56036512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63715680).

56036512 is an abundant number, since it is smaller than the sum of its proper divisors (71394848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56036512 is a wasteful number, since it uses less digits than its factorization.

56036512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 56036512 is about 7485.7539366453. The cubic root of 56036512 is about 382.6693672321.

Adding to 56036512 its reverse (21563065), we get a palindrome (77599577).

The spelling of 56036512 in words is "fifty-six million, thirty-six thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 97 112 194 224 388 679 776 1358 1552 2579 2716 3104 5158 5432 10316 10864 18053 20632 21728 36106 41264 72212 82528 144424 250163 288848 500326 577696 1000652 1751141 2001304 3502282 4002608 7004564 8005216 14009128 28018256 56036512